# Figure 5 # Fig. 5: mean velocity (left) and velocity fluctuation (right) profiles from the quasi air-water simulation. # Profiles are functions of the wall-normal coordinate y/H; the average interface position is y/H = 1 (dotted line). # Simulation units with H = 1 and g = 0.36. Velocities are normalised by sqrt(gH), variances by gH. # The right-panel curves are the individual components , , . # Columns: # 1: yH - wall-normal coordinate y/H (y = 0 bottom wall, y/H = 1 mean interface position, y/H = 2 top boundary) # 2: U_mean - mean streamwise velocity /sqrt(gH) (left panel) # 3: uu - streamwise velocity variance /(gH) (right panel, solid line) # 4: vv - wall-normal velocity variance /(gH) (right panel, dashed line) # 5: ww - spanwise velocity variance /(gH) (right panel, dash-dotted line) # ------------------------------------------------------------------------------ # yH U_mean uu vv ww 9.883115e-04 3.741616e-01 2.680224e-02 3.004796e-04 9.460427e-03 2.964937e-03 1.109635e+00 2.222877e-01 2.138027e-03 4.619236e-02 4.941570e-03 1.791241e+00 5.078767e-01 6.097947e-03 8.483939e-02 6.918215e-03 2.379939e+00 7.555661e-01 1.196543e-02 1.183956e-01 8.894877e-03 2.864773e+00 9.165566e-01 1.926741e-02 1.466956e-01 1.087156e-02 3.255270e+00 9.999634e-01 2.750755e-02 1.703309e-01 1.284827e-02 3.568449e+00 1.030062e+00 3.624420e-02 1.898291e-01 1.482501e-02 3.821191e+00 1.027760e+00 4.511917e-02 2.057203e-01 1.680179e-02 4.027530e+00 1.007308e+00 5.386314e-02 2.185471e-01 1.877861e-02 4.198319e+00 9.776009e-01 6.228659e-02 2.288357e-01 2.075547e-02 4.341717e+00 9.439594e-01 7.026526e-02 2.370562e-01 2.273239e-02 4.463799e+00 9.094890e-01 7.772401e-02 2.436036e-01 2.470935e-02 4.569103e+00 8.759372e-01 8.462547e-02 2.488098e-01 2.668638e-02 4.661058e+00 8.442322e-01 9.095981e-02 2.529383e-01 2.866347e-02 4.742282e+00 8.148113e-01 9.673501e-02 2.561922e-01 3.064063e-02 4.814788e+00 7.878264e-01 1.019724e-01 2.587239e-01 3.261785e-02 4.880131e+00 7.632530e-01 1.067020e-01 2.606466e-01 3.459515e-02 4.939531e+00 7.409424e-01 1.109587e-01 2.620483e-01 3.657253e-02 4.993962e+00 7.207110e-01 1.147790e-01 2.630085e-01 3.854999e-02 5.044202e+00 7.023870e-01 1.181988e-01 2.635977e-01 4.052753e-02 5.090880e+00 6.858085e-01 1.212528e-01 2.638708e-01 4.250517e-02 5.134504e+00 6.708296e-01 1.239744e-01 2.638744e-01 4.448289e-02 5.175484e+00 6.573014e-01 1.263951e-01 2.636503e-01 4.646072e-02 5.214160e+00 6.450667e-01 1.285448e-01 2.632306e-01 4.843863e-02 5.250815e+00 6.339891e-01 1.304512e-01 2.626386e-01 5.041665e-02 5.285686e+00 6.239339e-01 1.321397e-01 2.618961e-01 5.239478e-02 5.318971e+00 6.147930e-01 1.336337e-01 2.610232e-01 5.437301e-02 5.350835e+00 6.064694e-01 1.349539e-01 2.600413e-01 5.635134e-02 5.381415e+00 5.988746e-01 1.361189e-01 2.589713e-01 5.832979e-02 5.410829e+00 5.919398e-01 1.371450e-01 2.578289e-01 6.030835e-02 5.439180e+00 5.855996e-01 1.380466e-01 2.566257e-01 6.228702e-02 5.466561e+00 5.797896e-01 1.388367e-01 2.553739e-01 6.426581e-02 5.493057e+00 5.744535e-01 1.395267e-01 2.540798e-01 6.624472e-02 5.518739e+00 5.695328e-01 1.401273e-01 2.527458e-01 6.822374e-02 5.543667e+00 5.649766e-01 1.406477e-01 2.513761e-01 7.020289e-02 5.567894e+00 5.607481e-01 1.410954e-01 2.499818e-01 7.218216e-02 5.591464e+00 5.568229e-01 1.414770e-01 2.485730e-01 7.416155e-02 5.614415e+00 5.531803e-01 1.417982e-01 2.471581e-01 7.614106e-02 5.636782e+00 5.498044e-01 1.420647e-01 2.457431e-01 7.812069e-02 5.658596e+00 5.466533e-01 1.422821e-01 2.443316e-01 8.010045e-02 5.679888e+00 5.437075e-01 1.424553e-01 2.429265e-01 8.208034e-02 5.700685e+00 5.409386e-01 1.425892e-01 2.415312e-01 8.406035e-02 5.721014e+00 5.383257e-01 1.426884e-01 2.401494e-01 8.604048e-02 5.740898e+00 5.358419e-01 1.427570e-01 2.387834e-01 8.802073e-02 5.760363e+00 5.334690e-01 1.427982e-01 2.374350e-01 9.000112e-02 5.779433e+00 5.312050e-01 1.428150e-01 2.361043e-01 9.198162e-02 5.798133e+00 5.290351e-01 1.428103e-01 2.347944e-01 9.396225e-02 5.816482e+00 5.269574e-01 1.427858e-01 2.335086e-01 9.594300e-02 5.834497e+00 5.249570e-01 1.427426e-01 2.322524e-01 9.792388e-02 5.852189e+00 5.230328e-01 1.426817e-01 2.310291e-01 9.990488e-02 5.869571e+00 5.211716e-01 1.426039e-01 2.298371e-01 1.018860e-01 5.886652e+00 5.193647e-01 1.425108e-01 2.286753e-01 1.038672e-01 5.903442e+00 5.176154e-01 1.424042e-01 2.275428e-01 1.058486e-01 5.919955e+00 5.159117e-01 1.422858e-01 2.264405e-01 1.078301e-01 5.936202e+00 5.142495e-01 1.421572e-01 2.253658e-01 1.098116e-01 5.952194e+00 5.126259e-01 1.420195e-01 2.243158e-01 1.117933e-01 5.967938e+00 5.110299e-01 1.418739e-01 2.232872e-01 1.137752e-01 5.983442e+00 5.094647e-01 1.417210e-01 2.222765e-01 1.157571e-01 5.998711e+00 5.079338e-01 1.415612e-01 2.212842e-01 1.177391e-01 6.013751e+00 5.064310e-01 1.413950e-01 2.203089e-01 1.197213e-01 6.028566e+00 5.049630e-01 1.412226e-01 2.193500e-01 1.217035e-01 6.043161e+00 5.035246e-01 1.410439e-01 2.184030e-01 1.236859e-01 6.057542e+00 5.021132e-01 1.408592e-01 2.174645e-01 1.256683e-01 6.071716e+00 5.007244e-01 1.406690e-01 2.165332e-01 1.276509e-01 6.085692e+00 4.993536e-01 1.404739e-01 2.156082e-01 1.296335e-01 6.099479e+00 4.979996e-01 1.402745e-01 2.146938e-01 1.316163e-01 6.113084e+00 4.966664e-01 1.400714e-01 2.137891e-01 1.335991e-01 6.126514e+00 4.953547e-01 1.398652e-01 2.128940e-01 1.355821e-01 6.139776e+00 4.940597e-01 1.396564e-01 2.120076e-01 1.375651e-01 6.152874e+00 4.927866e-01 1.394449e-01 2.111301e-01 1.395482e-01 6.165811e+00 4.915253e-01 1.392311e-01 2.102601e-01 1.415314e-01 6.178590e+00 4.902937e-01 1.390151e-01 2.093964e-01 1.435147e-01 6.191217e+00 4.890716e-01 1.387971e-01 2.085388e-01 1.454980e-01 6.203693e+00 4.878737e-01 1.385772e-01 2.076898e-01 1.474815e-01 6.216025e+00 4.866791e-01 1.383561e-01 2.068504e-01 1.494650e-01 6.228218e+00 4.855033e-01 1.381341e-01 2.060201e-01 1.514486e-01 6.240276e+00 4.843332e-01 1.379115e-01 2.051989e-01 1.534322e-01 6.252202e+00 4.831736e-01 1.376888e-01 2.043861e-01 1.554159e-01 6.263998e+00 4.820214e-01 1.374666e-01 2.035794e-01 1.573997e-01 6.275665e+00 4.808733e-01 1.372453e-01 2.027788e-01 1.593835e-01 6.287206e+00 4.797247e-01 1.370252e-01 2.019833e-01 1.613675e-01 6.298624e+00 4.785753e-01 1.368063e-01 2.011935e-01 1.633514e-01 6.309922e+00 4.774247e-01 1.365882e-01 2.004108e-01 1.653354e-01 6.321102e+00 4.762702e-01 1.363706e-01 1.996395e-01 1.673195e-01 6.332169e+00 4.751065e-01 1.361528e-01 1.988794e-01 1.693036e-01 6.343126e+00 4.739422e-01 1.359338e-01 1.981327e-01 1.712878e-01 6.353974e+00 4.727721e-01 1.357129e-01 1.973988e-01 1.732720e-01 6.364717e+00 4.716004e-01 1.354896e-01 1.966747e-01 1.752562e-01 6.375356e+00 4.704310e-01 1.352633e-01 1.959563e-01 1.772405e-01 6.385891e+00 4.692731e-01 1.350334e-01 1.952440e-01 1.792248e-01 6.396326e+00 4.681152e-01 1.347998e-01 1.945387e-01 1.812092e-01 6.406661e+00 4.669594e-01 1.345622e-01 1.938419e-01 1.831936e-01 6.416901e+00 4.658102e-01 1.343205e-01 1.931542e-01 1.851780e-01 6.427046e+00 4.646643e-01 1.340746e-01 1.924767e-01 1.871624e-01 6.437100e+00 4.635229e-01 1.338248e-01 1.918086e-01 1.891469e-01 6.447062e+00 4.623873e-01 1.335713e-01 1.911481e-01 1.911314e-01 6.456935e+00 4.612586e-01 1.333146e-01 1.904946e-01 1.931159e-01 6.466720e+00 4.601352e-01 1.330554e-01 1.898456e-01 1.951004e-01 6.476420e+00 4.590161e-01 1.327939e-01 1.892016e-01 1.970849e-01 6.486038e+00 4.578932e-01 1.325301e-01 1.885626e-01 1.990695e-01 6.495577e+00 4.567767e-01 1.322642e-01 1.879274e-01 2.010540e-01 6.505041e+00 4.556583e-01 1.319960e-01 1.872963e-01 2.030386e-01 6.514432e+00 4.545412e-01 1.317254e-01 1.866686e-01 2.050232e-01 6.523751e+00 4.534235e-01 1.314527e-01 1.860418e-01 2.070078e-01 6.533000e+00 4.523156e-01 1.311776e-01 1.854149e-01 2.089924e-01 6.542181e+00 4.512104e-01 1.309004e-01 1.847871e-01 2.109770e-01 6.551291e+00 4.501150e-01 1.306212e-01 1.841576e-01 2.129617e-01 6.560331e+00 4.490183e-01 1.303402e-01 1.835289e-01 2.149463e-01 6.569301e+00 4.479361e-01 1.300579e-01 1.829025e-01 2.169309e-01 6.578202e+00 4.468612e-01 1.297743e-01 1.822782e-01 2.189156e-01 6.587033e+00 4.457890e-01 1.294898e-01 1.816570e-01 2.209002e-01 6.595793e+00 4.447213e-01 1.292048e-01 1.810380e-01 2.228849e-01 6.604482e+00 4.436614e-01 1.289200e-01 1.804210e-01 2.248696e-01 6.613102e+00 4.426047e-01 1.286357e-01 1.798052e-01 2.268542e-01 6.621655e+00 4.415545e-01 1.283525e-01 1.791887e-01 2.288389e-01 6.630141e+00 4.405126e-01 1.280705e-01 1.785734e-01 2.308237e-01 6.638564e+00 4.394736e-01 1.277901e-01 1.779614e-01 2.328084e-01 6.646923e+00 4.384374e-01 1.275112e-01 1.773560e-01 2.347932e-01 6.655221e+00 4.373995e-01 1.272339e-01 1.767564e-01 2.367780e-01 6.663459e+00 4.363630e-01 1.269580e-01 1.761613e-01 2.387629e-01 6.671638e+00 4.353253e-01 1.266836e-01 1.755689e-01 2.407478e-01 6.679761e+00 4.342869e-01 1.264104e-01 1.749788e-01 2.427327e-01 6.687828e+00 4.332494e-01 1.261387e-01 1.743906e-01 2.447177e-01 6.695842e+00 4.322121e-01 1.258684e-01 1.738051e-01 2.467028e-01 6.703805e+00 4.311719e-01 1.255995e-01 1.732210e-01 2.486880e-01 6.711715e+00 4.301357e-01 1.253320e-01 1.726418e-01 2.506733e-01 6.719574e+00 4.290958e-01 1.250661e-01 1.720680e-01 2.526587e-01 6.727386e+00 4.280526e-01 1.248023e-01 1.714983e-01 2.546442e-01 6.735152e+00 4.270070e-01 1.245406e-01 1.709328e-01 2.566299e-01 6.742872e+00 4.259550e-01 1.242812e-01 1.703718e-01 2.586157e-01 6.750548e+00 4.248923e-01 1.240244e-01 1.698131e-01 2.606017e-01 6.758178e+00 4.238256e-01 1.237701e-01 1.692567e-01 2.625879e-01 6.765764e+00 4.227536e-01 1.235182e-01 1.687017e-01 2.645744e-01 6.773306e+00 4.216715e-01 1.232684e-01 1.681464e-01 2.665610e-01 6.780805e+00 4.205825e-01 1.230207e-01 1.675890e-01 2.685480e-01 6.788262e+00 4.194891e-01 1.227743e-01 1.670309e-01 2.705353e-01 6.795676e+00 4.183905e-01 1.225291e-01 1.664731e-01 2.725230e-01 6.803048e+00 4.172856e-01 1.222847e-01 1.659143e-01 2.745110e-01 6.810377e+00 4.161780e-01 1.220406e-01 1.653568e-01 2.764994e-01 6.817660e+00 4.150705e-01 1.217963e-01 1.648012e-01 2.784884e-01 6.824897e+00 4.139648e-01 1.215518e-01 1.642499e-01 2.804778e-01 6.832089e+00 4.128612e-01 1.213066e-01 1.637021e-01 2.824678e-01 6.839234e+00 4.117611e-01 1.210607e-01 1.631586e-01 2.844584e-01 6.846334e+00 4.106640e-01 1.208139e-01 1.626175e-01 2.864497e-01 6.853390e+00 4.095672e-01 1.205658e-01 1.620806e-01 2.884417e-01 6.860401e+00 4.084777e-01 1.203167e-01 1.615463e-01 2.904346e-01 6.867367e+00 4.073881e-01 1.200665e-01 1.610113e-01 2.924283e-01 6.874290e+00 4.063064e-01 1.198148e-01 1.604755e-01 2.944229e-01 6.881169e+00 4.052238e-01 1.195617e-01 1.599418e-01 2.964185e-01 6.888004e+00 4.041421e-01 1.193072e-01 1.594093e-01 2.984153e-01 6.894795e+00 4.030612e-01 1.190514e-01 1.588796e-01 3.004132e-01 6.901544e+00 4.019765e-01 1.187943e-01 1.583542e-01 3.024124e-01 6.908252e+00 4.008867e-01 1.185360e-01 1.578335e-01 3.044130e-01 6.914918e+00 3.997906e-01 1.182763e-01 1.573158e-01 3.064151e-01 6.921545e+00 3.986940e-01 1.180154e-01 1.568025e-01 3.084188e-01 6.928130e+00 3.975948e-01 1.177533e-01 1.562942e-01 3.104242e-01 6.934674e+00 3.964942e-01 1.174901e-01 1.557908e-01 3.124315e-01 6.941178e+00 3.953970e-01 1.172258e-01 1.552920e-01 3.144407e-01 6.947640e+00 3.943031e-01 1.169606e-01 1.547982e-01 3.164520e-01 6.954061e+00 3.932055e-01 1.166945e-01 1.543096e-01 3.184656e-01 6.960443e+00 3.921133e-01 1.164276e-01 1.538247e-01 3.204816e-01 6.966785e+00 3.910299e-01 1.161601e-01 1.533437e-01 3.225002e-01 6.973091e+00 3.899440e-01 1.158920e-01 1.528646e-01 3.245215e-01 6.979362e+00 3.888612e-01 1.156236e-01 1.523865e-01 3.265458e-01 6.985599e+00 3.877802e-01 1.153552e-01 1.519101e-01 3.285731e-01 6.991808e+00 3.866945e-01 1.150869e-01 1.514373e-01 3.306037e-01 6.997989e+00 3.856102e-01 1.148185e-01 1.509679e-01 3.326377e-01 7.004146e+00 3.845245e-01 1.145505e-01 1.505015e-01 3.346755e-01 7.010282e+00 3.834352e-01 1.142826e-01 1.500362e-01 3.367172e-01 7.016400e+00 3.823422e-01 1.140150e-01 1.495710e-01 3.387630e-01 7.022501e+00 3.812413e-01 1.137479e-01 1.491069e-01 3.408131e-01 7.028587e+00 3.801421e-01 1.134814e-01 1.486430e-01 3.428679e-01 7.034658e+00 3.790424e-01 1.132155e-01 1.481794e-01 3.449275e-01 7.040716e+00 3.779451e-01 1.129502e-01 1.477149e-01 3.469923e-01 7.046760e+00 3.768485e-01 1.126856e-01 1.472506e-01 3.490624e-01 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